Article ID: | iaor20102718 |
Volume: | 64 |
Issue: | 4 |
Start Page Number: | 383 |
End Page Number: | 393 |
Publication Date: | Apr 2010 |
Journal: | Queueing Systems |
Authors: | Denisov Denis, Shneer Seva |
Keywords: | M/G/1 queues |
We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue.